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Finding the Third Proportional to 821,001 and 1,793,313

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Solution

The third proportional to 821,001 and 1,793,313 is: 3,917,134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,001 : 1,793,313 = 1,793,313 : x
  2. Step 2: Convert to fraction form
    821,001/1,793,313 = 1,793,313/x
  3. Step 3: Cross multiply
    821,001x = 1,793,313 × 1,793,313
  4. Step 4: Simplify right side
    821,001x = 3,215,971,515,969
  5. Step 5: Solve for x
    x = 3,215,971,515,969/821,001
  6. Step 6: Final answer
    x = 3,917,134.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.